login
A351597
Primes p such that the 6 consecutive primes starting with p are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order.
3
11, 1481, 27701, 165701, 317921, 326141, 397751, 558791, 585911, 661091, 716411, 739391, 959831, 1015361, 1022501, 1068701, 1156031, 1161401, 1246361, 1265861, 1461401, 1514321, 1917731, 1940711, 2183921, 2188871, 2296871, 2725781, 2896931, 3058871, 3075341
OFFSET
1,1
COMMENTS
All terms are congruent to 11 (modulo 30) by definition.
EXAMPLE
The six consecutive primes starting with 1481: 1481, 1483, 1487, 1489, 1493, 1499 are congruent to 11, 13, 17, 19, 23, 29 (modulo 30) in this order.
MATHEMATICA
Select[Partition[Prime[Range[222000]], 6, 1], Mod[#, 30] == {11, 13, 17, 19, 23, 29} &][[;; , 1]] (* Amiram Eldar, May 03 2022 *)
CROSSREFS
Subsequence of A132232.
Sequence in context: A286650 A015027 A160264 * A076168 A053884 A027880
KEYWORD
nonn
AUTHOR
Zak Seidov, May 02 2022
STATUS
approved